Answer:f(g(0))= 1/5
g(f(0))= 7
Step-by-step explanation:
for f(g(0))=you solve for g(x) but you plug in 0 for x so g(0)= 8(0)+3
=3
so now you plug in the answer of the function of g(x) witch is 3 and plug it in as the x for F(x) so f(3)= 1/(3)+2
= 1/5
so f(g(0)) is equal to 1/5
Now for G(f(0)) you solve for f(x) by pluging 0 for x so F(0)= 1/(0)+2
=1/2
now you plug in 1/2 for the x of g(x) so g(1/2)= 8(1/2)+3
= 4+3
=7
so g(f(0)) is equal to 7
Hope this helps:)
Answer:
D
Step-by-step explanation:
Since BD and AE are parallel lines, then
∠BDC = ∠AED ( corresponding angles ), thus
4x - 5 = 97 - 2x ( add 2x to both sides )
6x - 5 = 97 ( add 5 to both sides )
6x = 102 ( divide both sides by 6 )
x = 17, hence
∠AED = 97 - 2x = 97 - (2 × 17) = 97 - 34 = 63°
∠BDE and ∠AED are same side interior angles and are supplementary, thus
10y - 3 + 63 = 180
10y + 60 = 180 ( subtract 60 from both sides )
10y = 120 ( divide both sides by 10 )
y = 12 → D
Answer:
y=2
Step-by-step explanation:
1/3 (y+7) = 3(y-1)
Multiply each side by 3 to get rid of the fraction
3*1/3 (y+7) = 3*3(y-1)
y+7 = 9(y-1)
Distribute
y+7 = 9y - 9
Subtract y from each side
y+7-y = 9y-y-9
7 = 8y -9
Add 9 to each side
7+9 = 8y-9+9
16 = 8y
Divide each side by8
16/8 = 8y/8
2 = y
Use FOIL
<span>(1-p)(1+p+p^2+p^3+p^4+p^5+p^6)
</span><span>1+p+p^2+p^3+p^4+p^5+p^6 -1p - p^2 - p^3 - p^4 - p^5 - p^6
</span><span>1 + p -1p <------------------Answer</span>
